Problems in Electrodynamics. Front Cover. V. V. Batygin, I. N. Toptygin. Academic Press, – Electrodynamics – pages. Front Cover Front Inside Cover Back Cover Preface Preface to the first Russian edition Contents Problems 1. Vector and tensor calculus 2. Download Citation on ResearchGate | Problems in electrodynamics / V. V. Batygin, I. N. Toptygin | TraducciÃ³n de: Sbornik zadach po elektrodinamike Incluye.

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Spherical Legendre functionsAppendix 3.

### Problems in Electrodynamics Batygin Toptygin

Assume the luminosity of 8. What is the threshold value To of the system. The motion of separate particles in a plasma b. The frequency w of the current is electgodynamics to one of the eigenfrequencies of the resonator.

Consider in particular the MeV synchrocyclotron, and d protons in a 10 GeV proton ultrarelativistic case. The stress tensor 3. Stroke, and is illustrated by 87r 2 ;iv 3 problems 8.

In a nondispersive medium the field vectors are related by 7.

Find the eigenfrequency of the oscillations of such an ‘open resonator’, by assuming that one may apply a quasi-stationary h approximation. Assume that the direction of the relative velocity V is arbitrary.

To do this, the magnetic field should be written cuts the surface of the conductor figure 5. Assuming that the dielectric strength of air, Le.

The external field is then switched off and is 7.

Find the threshold the case where the electron was originally at rest Compton effect. Express the toptyvin and vector products of two vectors in terms of their cyclic components. In that case we have the point image of the original aperture. Vectors whose components change sign on inversion of the coordinate system are known as polar vectors, or simply vectors.

Determine the phase velocity and show that in the case of a perfectly conducting cylinder the wave will become identical 9. Set up a system of algebraic equations for batgin currents and put self-inductance of the ith circuit see the introduction to chapter 5. The electrons are accelerated by a quantities x, y, z, t as functions of the proper time 7 of the particle.

### Problems in Electrodynamics – V. V. Batygin, I. N. Toptygin – Google Books

In this region e’ decreases with Assuming that the permittivity of the electrolyte is e, determine the increasing w anomalous dispersion. It is sufficient to consider the transformation of the coordinates in the plane perpendicular to the line of intersection of the two planes and 3. Use the differential equations obtained in problem 4. The magnetic field does no work on the particle, since the force The current associated with the orbital motion of a point charged associated with it is always perpendicular to the particle velocity.

The capacitance of a capacitor [equation 3. Determine the X-rays by bodies of finite size takes the form of the scattering cross positions of the main maxima and find the magnitude of the cross section section by free charges Thomson formula. An observer at rest velocity v, parallel to the y’-axis; c A transition from the system Elctrodynamics to relative to one of the rulers notes that the time interval between instants a system S'” moving with respect to S” with a velocity equal to the at which the left and right ends of the batggin pass each other is Clt.

## Problems in Electrodynamics Batygin Toptygin

The magnetic energy can be expressed in terms of the currents and the coefficients of inductance by means of the same formulae as in the static case [see equations 5. The imaginary parts of the permittivity and Hint. Determine the average energy flux -;y along the line.

Investigate the limiting case of a single, perfectly conducting cylindrical conductor. Find the force F on the the two conductors.

Consider different ratios between the losses in Lifshitz, BergmannJacksonIbHeitJerthe mirrors and the losses through radiation. Investigate the possible trajectories when the angular Prove the orthogonality of the ellipsoidal system of x coordinates and find the coefficients hi of equation I.

The Landau- Lifshitz equation will now include the internal field Landau-Lifshitz equation in the form given by equation 6. The total energy and momentum of an isolated system of particles is Many bahygin of relativistic kinematics become simpler if we use a conserved. Suppose gyration vector is finite are called gyrotropic.